GCD of 876, 686, 198, 516 Calculator

Given Input numbers are 876, 686, 198, 516

In the factoring method, we have to find the divisors of all numbers

Divisors of 876 :

The positive integer divisors of 876 that completely divides 876 are.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Divisors of 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 516 :

The positive integer divisors of 516 that completely divides 516 are.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

GCD of numbers is the greatest common divisor

So, the GCD (876, 686, 198, 516) = 2.

Given numbers are 876, 686, 198, 516

The list of prime factors of all numbers are

Prime factors of 876 are 2 x 2 x 3 x 73

Prime factors of 686 are 2 x 7 x 7 x 7

Prime factors of 198 are 2 x 3 x 3 x 11

Prime factors of 516 are 2 x 2 x 3 x 43

The highest common occurrence is 2¹

Therefore, GCD of 876, 686, 198, 516 is 2.

Given numbers are 876, 686, 198, 516

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(876, 686) = 300468

GCD(876, 686) = ( 876 x 686 ) / 300468

= 876 / 686

= 876

Step2:

LCM(2, 198) = 198

GCD(2, 198) = ( 2 x 198 ) / 198

= 2 / 198

= 2

Step3:

LCM(2, 516) = 516

GCD(2, 516) = ( 2 x 516 ) / 516

= 2 / 516

= 2

So, Greatest Common Divisor of 876, 686, 198, 516 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 836, 438, 757, 634
• GCD of 252, 421, 885, 631
• GCD of 244, 519, 330, 303
• GCD of 291, 330, 974, 807
• GCD of 402, 948, 664, 494

Given numbers are 876, 686, 198, 516
The greatest common divisor of numbers 876, 686, 198, 516 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 876, 686, 198, 516 is 2.

1. What is the GCD of 876, 686, 198, 516?

GCD of given numbers 876, 686, 198, 516 is 2

2. How to calculate the greatest common divisor of 876, 686, 198, 516?

We can find the highest common divisor of 876, 686, 198, 516 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 876, 686, 198, 516 i.e 2.

3. How can I use the GCD of 876, 686, 198, 516Calculator?

Out the numbers 876, 686, 198, 516 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.